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40243225121253 = 32721183727137483
BaseRepresentation
bin10010010011001110110110…
…01000110101000111100101
312021111012210112220100221200
421021213123020311013211
520233321111112340003
6221331252110433113
711322322430340300
oct1111473310650745
9167435715810850
1040243225121253
1111906068495680
12461b4a6802799
13195bbc5b9215b
149d1ad5211b37
1549bc42d896a3
hex2499db2351e5

40243225121253 has 144 divisors (see below), whose sum is σ = 74758792582656. Its totient is φ = 20625137628480.

The previous prime is 40243225121213. The next prime is 40243225121369. The reversal of 40243225121253 is 35212152234204.

40243225121253 is a `hidden beast` number, since 4 + 0 + 2 + 432 + 2 + 5 + 1 + 212 + 5 + 3 = 666.

40243225121253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40243225121253 - 210 = 40243225120229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40243225121213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 292645450 + ... + 292782932.

It is an arithmetic number, because the mean of its divisors is an integer number (519158281824).

Almost surely, 240243225121253 is an apocalyptic number.

It is an amenable number.

40243225121253 is a deficient number, since it is larger than the sum of its proper divisors (34515567461403).

40243225121253 is a wasteful number, since it uses less digits than its factorization.

40243225121253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138324 (or 138314 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 40243225121253 its reverse (35212152234204), we get a palindrome (75455377355457).

The spelling of 40243225121253 in words is "forty trillion, two hundred forty-three billion, two hundred twenty-five million, one hundred twenty-one thousand, two hundred fifty-three".

Divisors: 1 3 7 9 11 21 33 49 63 77 83 99 147 231 249 441 539 581 693 727 747 913 1617 1743 2181 2739 4067 4851 5089 5229 6391 6543 7997 8217 12201 15267 19173 23991 35623 36603 44737 45801 55979 57519 60341 71973 106869 134211 137483 167937 181023 320607 391853 402633 412449 422387 503811 543069 663751 962381 1175559 1237347 1267161 1512313 1991253 2887143 2956709 3526677 3801483 4536939 4646257 5973759 6736667 8661429 8870127 10586191 11411089 13610817 13938771 20210001 26610381 31758573 32523799 34233267 41816313 60630003 74103337 79877623 95275719 97571397 99950141 102699801 125521979 222310011 239632869 292714191 299850423 376565937 559143361 666930033 699650987 718898607 878653853 899551269 1099451551 1129697811 1677430083 2098952961 2635961559 3298354653 4897556909 5032290249 6150576971 6296858883 7696160857 7907884677 8295861703 9895063959 14692670727 18451730913 23088482571 24887585109 44078012181 53873125999 55355192739 58071031921 69265447713 74662755327 91254478733 161619377997 174213095763 273763436199 406497223447 484858133991 522639287289 638781351131 821290308597 1219491670341 1916344053393 3658475011023 4471469457917 5749032160179 13414408373751 40243225121253